# Constraints applied to circshift function

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laurie il 21 Feb 2015
Risposto: Image Analyst il 21 Feb 2015
If i have a matrix A:
0 0
0 1
1 1
1 1
0 0
and I applied the following shift function (to shift rows downwards):
id=randi(6,1,size(A,2));
shift = cell2mat(arrayfun(@(x) circshift(A(:,x),[id(x) 1]),(1:numel(id)),'un',0));
How would I apply the following constraint: "The ones never get separated in their respective column" such as in the below eg. with column 2
id = 1 2
A=
0 1
0 0
0 0
1 1
1 1
Thank you for any help!
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### Risposta accettata

Image Analyst il 21 Feb 2015
You can use all() or sum() to find out which rows are all zeros. Then use find() to figure out where the last row that has a 1 in it. Then you'll know how far you can shift the rows down. If you pick a random shift, make sure that it's not more than that number or else they'll go past the end of the array.
Here's a start for you:
theSum = sum(A, 2);
lastRow = find(theSum > 0, 1, 'last');
rowsThatICanShift = size(A, 1) - lastRow;
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